Table of Contents
How do you divide any kind of triangle into 5 equal triangles of equal area each divided shape should be a triangle?
Take any one of the three sides and divide it into 5 parts. Now join these line segments to the third vertex. You can form five triangles with equal areas. How did this work?…
- 8 ltrs container is full.
- Pour 8 ltrs into 5 ltrs…..……
- Pour 5 ltrs into 3 ltrs …..…..
- Pour 3 ltrs into 8 ltrs …..,….
- Pour 5 ltrs into 3 ltrs………..
What is the Orthocentre of triangle?
The orthocenter of a triangle is the intersection of the triangle’s three altitudes. It has several important properties and relations with other parts of the triangle, including its circumcenter, incenter, area, and more.
Can all triangles be halved?
It should be obvious that halving each side of the triangle halves the base and the height. Since all sides are halved, the angles between the corresponding sides remain equal.
Can you divide a trapezoid into 4 equal parts?
Last week I asked you to divide a trapezoid into 4 equal parts with 4 equal pieces. There’s a neat trick on how you can do this: you can tile the same shape to re-create the original! It’s a pretty neat trick that can sometimes work in other dissection problems too.
How to find the area of a trapezoid divided by two triangles?
When you divides the trapezoid in two triangles, the area of the trapezoid is the sum of the aeras of the triangles. The triangle D B C has an area of a ∗ h 2 ( basis ∗ height 2) and the triangle A B D an area of b ∗ h 2, hence the area of the trapezoid : a ∗ h 2 + b ∗ h 2 = ( a + b) ∗ h 2 The triangle D C B has base line D C = a and height h .
What is an isosceles trapezoid?
An isosceles trapezoid is a special case of trapezoid which has lateral symmetry, meaning that one side would be a mirror of the other. The image above depicts an isosceles trapezoid, ABCD. It should be apparent that triangles ABE and DCE have equal areas, as they are mirror images of each other.
How many diagonals does median divide a parallelogram into?
Diagonals if a parallelogram divide it into 4 triangles is equal area. Pair of opposite triangle are congruent.. We know that diagonals of a parallelogram bisect each other. So median divide the triangle into 2 equal triangles of equal area.
What is the difference between a trapezoid and a parallelogram?
Some books/authors, use the inclusive definition: A trapezoid is a quadrilateral with at least one set of parallel sides. In this definition a parallelogram is a subgroup of trapezoids, and so a trapezoid, if it is a parallelogram, can be divided into two congruent triangles.